Fourier transform of the percolation free energy |
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Authors: | Bao Gia Nguyen |
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Institution: | (1) Center for Stochastic Processes, Department of Statistics, University of North Carolina, Phillips Hall 039 A, 27514 Chapel Hill, NC, USA |
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Abstract: | Summary In this paper we compute the Fourier transform of the free energy of the percolation process. We apply the Fourier transform technique to rederive a result of Aizenman-Kesten-Newman that the derivative of the free energy is continuous.This research was supported by the Air Force Office of Scientific Research, Grant No. F49620 85 C0144Part of this work was also carried out at The University of Mississippi, Department of Mathematics, University, MS 38677, USA |
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